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Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 1

**Q. 1 – Q. 5 carry one mark each.**

**Q.**

**If 3 X 5 and 8 Y 11 then which of the following options is TRUE?**

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 2

The Headmaster ___________ to speak to you.

Which of the following options is incorrect to complete the above sentence?

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 3

Mahatama Gandhi was known for his humility as

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 4

Which of the above underlined parts of the sentence is not appropriate?

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 5

Select the pair that best expresses a relationship similar to that expressed in the pair:

**water: pipe::**

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 6

**Q. 6 to Q. 10 carry two marks each**

**Q.**

Velocity of an object fired directly in upward direction is given by V= 80 - 32 t, where t (time)

is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 7

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents

respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a

randomly drawn autocomponent from the combined lot is found defective, what is the probability

that it was manufactured by M2?

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 8

Following table gives data on tourists from different countries visiting India in the year 2011.

Which two countries contributed to the one third of the total number of tourists who visited India in

2011?

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 9

If |-2x + 9| = 3 then the possible value of |-x| - x^{2} would be:

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 10

All professors are researchers

Some scientists are professors

Which of the given conclusions is logically valid and is inferred from the above arguments

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 11

**Q. 11 – Q. 35 carry one mark each.**

**Q.**

In the Coward flammability diagram, the respective percentages of methane and oxygen at the

nose limit are

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 12

If the transpose of a matrix is equal to its inverse, then the matrix is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 13

In the Moh’s scale of hardness, the minerals in increasing sequence of hardness are

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 14

A ball of weight W is supported on smooth walls as shown in the following figure. R1 and R2 are

reactions from the walls 1 and 2. The free body diagram of the ball is represented by

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 15

For a 25 mm diameter spherical charge, the maximum allowable charge length in cm is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 16

Long-hole drilling with crater blasting is used for the construction of

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 17

Rill stoping method is a form of

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 19

Incubation period is NOT related to

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 20

The rotational speed and cutting velocity of a drill are 350 rpm and 71.50 m/min respectively. The

diameter of the rotary drill bit in mm is

**(Note: Correct answer will be updated soon. Temporary Marked A)**

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 21

The pressure on a phreatic surface is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 22

Events A and B are independent but NOT mutually exclusive. If the probabilities P(A) and P(B) are

0.5 and 0.4 respectively, then P(A ∪ B) is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 23

Among the following options, the specific energy for rock-drilling is lowest in

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 24

Identify the correct statement for a ‘normal distribution’.

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 25

An emulsion explosive of specific gravity 1.25 is used for blasting in an iron ore formation having

P-wave velocity of 3000 m/s and specific gravity of 3.20. For an explosive impedance to rock

impedance ratio of 0.5, the desired velocity of detonation of the explosive in m/s is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 26

The number of ways in which the letters in the word MINING can be arranged is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 27

Under standard temperature and pressure conditions the theoretical maximum height in m to which

water can be lifted using an air-lift pump is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 28

In a belt conveyor system, function of the snub pulley is to

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 29

In the following figure, the coefficient of kinetic friction between the trolley and the surface is 0.04.

When the block is released from rest, the acceleration of the trolley in m/s2 becomes

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 30

Two meshing spur gear wheels of Module 6 have 24 and 42 teeth. The distance in mm between the

centres of the gear wheels is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 31

In an experiment to study coal dust explosibility, it is found that at least 3.0 g of limestone dust

should be added to a sample of 2.0 g of coal dust to ensure that propagation of flame does not take

place. The explosibility factor of coal dust is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 32

A 20 m steel tape used in a mine survey is found to be 20 cm short when compared with a standard

tape. If the measured volume of a dump using the tape is 4000 m^{3}, its actual volume in m^{3} is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 33

A mine worker inhales normal air; whereas, the exhaled air contains 16.65% O2 and 3.83% CO2.

The respiratory quotient of breathing for the worker is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 34

Block economic values in Lakhs of Rupees for a section of a block economic model are shown

below.

At a permissible slope angle of 1:1, the optimum pit value of the section in Lakhs of Rupees is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 35

The boundary of a mine is plotted on a scale of 1:2000. If a planimeter measures the plotted area as

58 cm^{2}, the actual mine area in m^{2} is

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 36

**Q. 36 to Q. 65 carry two marks each.**

**Q.**

For a shrinkage stope the following data values are given

The grade at the mill-head in g/tonne is ________

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 37

In an experiment to determine specific gravity of a soil sample, the following data is obtained:

The specific gravity of the sample is __________

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 38

A cylindrical rock specimen of diameter 54 mm has Young’s modulus of 68.97 GPa and Poisson’s

ratio of 0.35. The rock specimen fails in uniaxial compression at a lateral strain of 0.01%. The axial

load at failure in kN is __________

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 39

**An open belt drive connects two pulleys on parallel shafts that are 3.6 m apart as shown in the
figure. The diameters of the pulleys are 2.4 m and 1.6 m. The angle of contact on the smaller pulley
in degrees is __________**

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 40

A two tonne mine car is released from the top of an incline at a height of 3 m as shown in the

figure. The mine car travels 45 m along the inclined track and another 85 m along the horizontal

track before coming to rest.

The specific rolling resistance of the car in N/tonne is ____________

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 41

A surface miner with 2.0 m cutting drum width excavates coal in windrowing mode from a bench

with effective face length 200 m. The cutting speed of the surface miner is 10 m/min and the

cutting depth 25 cm. The density of coal is 1.4 tonne/m3. If the average turning time of the machine

at the face end is 5 min, the rate of production in tonne/hour becomes ____________

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 42

A core sample of a rock, having diameter 54 mm and length 108 mm, is subjected to axial loading.

If the axial strain and Poisson’s ratio are 2000 x 10^{-6} and 0.28 respectively, the value of

volumetric strain , represented in micro-strain is ___________

*Answer can only contain numeric values

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 43

A flat bauxite deposit has thickness of 10 m with an average density of 2200 kg/m3. The grade

values and the sample coordinates are as shown in the table. To carry out reserve estimation using

triangular method, the triangles are constructed as shown in the figure.

The alumina content in million tonnes, in the region comprising the three triangles is _________

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 44

If the following linear system of equations has non-trivial solutions

the value of p is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 45

A bucket wheel excavator with 20 buckets of capacity 0.5 m^{3} each, rotates at 5 rev/min. The bucket

fill factor is 80%. The excavator loads on to 1200 mm wide belt conveyor. The cross-section area

(m^{2}) of the material on the belt is 0.1B^{2}, where B is the belt width in m. The minimum speed of the

belt in m/s to avoid spillage of material is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 46

A simplex tableau shown below is generated during the maximization of a linear programming

problem using simplex method

After one iteration, the value of the objective function becomes

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 48

Given the following,

the correct match is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 49

Given the following,

the correct match is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 50

Given the following,

the correct match is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 51

Four psychrometric processes P, Q, R and S are shown in the psychrometric chart below.

These processes respectively represent

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 52

Given the following differential equation

the general solution is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 53

Given the following,

the correct match is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 54

Given the following,

the correct match is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 55

A sub-critical subsidence profile is shown in the figure below. The points A, B, C, and D represent

respectively the points of

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 56

The uniaxial compressive strength of a limestone sample is 80 MPa. The sample is confined at a

pressure of 20 MPa in a triaxial compressive strength test. Based on Hoek-Brown failure criteria

the maximum principal stress at failure in MPa is

(consider rock constants as m = 7.88, s = 1.0 and a = 0.5)

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 57

A wire of length L is cut into two pieces to construct a circle and an equilateral triangle such that

the combined area is minimum. The length of the wire used to construct the circle is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 58

**Common Data for Questions 58 and 59:**

**Pressure characteristic of a mine fan is given by, P = -0.06Q ^{2 + 400, }where P is the pressure in Pa and Q
the quantity in m^{3}/s. The resistance of the mine is 0.19 Ns^{2}/m^{8}.**

**Q.**

The mine quantity in m^{3}/s is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 59

**Pressure characteristic of a mine fan is given by, P = -0.06Q ^{2 + 400, }where P is the pressure in Pa and Q
the quantity in m^{3}/s. The resistance of the mine is 0.19 Ns^{2}/m^{8}.**

**Q.**

An identical fan is installed in the mine to operate in series with the existing fan. The new mine

quantity in m^{3}/s is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 60

**Common Data for Questions 60 and 61:
The following observations are taken during a closed traverse.**

**Q.**

**The closing error of the traverse in mm is**

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 61

**Common Data for Questions 60 and 61:
The following observations are taken during a closed traverse.**

**Q.**

**The reduced bearing of the closing error in degrees is**

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 62

**Statement for Linked Answer Questions 62 and 63:**

**Economic analysis of an iron ore deposit reveals that the net value of the ore is related to the grade mined as shown in the table.**

**Q.**

Assuming linear relationship between the net value and grade, the break-even cut-off grade

in % Fe is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 63

Economic analysis of an iron ore deposit reveals that the net value of the ore is related to the grade mined

as shown in the table.

**Q.**

**Assuming that the grade follows normal distribution with mean 62.7%, and standard deviation
10.0% (A portion of the standard normal distribution table is given below),**

the percentage of waste in the deposit based on the break-even cut-off grade is

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 64

**Statement for Linked Answer Questions 64 and 65:**

**A 4.6 m wide vein dipping at 80 ^{0} is mined by horizontal cut-and-fill stoping method. The fill is to be
placed in the stope along the length of 46 m and to a height of 3.0 m. If the specific weight of the fill
material is 15.86 kN/m^{3} and the porosity is 35%, under fully saturated conditions.**

**Q.**

**the volume of water in the fill in m ^{3} is**

Mining Engineering - MN 2013 GATE Paper (Practice Test) - Question 65

**A 4.6 m wide vein dipping at 80 ^{0} is mined by horizontal cut-and-fill stoping method. The fill is to be
placed in the stope along the length of 46 m and to a height of 3.0 m. If the specific weight of the fill
material is 15.86 kN/m^{3} and the porosity is 35%, under fully saturated conditions**

**Q.**

**the mass of solids in saturated fill in tonnes is**

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